3.69 is what percent of 17.99 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 17.99 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 17.99, so we can write it down as 100%=17.99.
4. We know, that x% equals 3.69 of the output value, so we can write it down as x%=3.69.
5. Now we have two simple equations:
1) 100%=17.99
2) x%=3.69
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=17.99/3.69
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.69 is what percent of 17.99

100%/x%=17.99/3.69
(100/x)*x=(17.99/3.69)*x       - we multiply both sides of the equation by x
100=4.8753387533875*x       - we divide both sides of the equation by (4.8753387533875) to get x
100/4.8753387533875=x
20.511395219566=x
x=20.511395219566

now we have:
3.69 is 20.511395219566% of 17.99